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Popular >

(dx)/(dt)=tx

Solution

\frac{d x}{d t} = t x

Solution

x = e^{\frac{t ^{2}}{2} + c_{1}}

Solution steps

\frac{d x}{d t} = t x

Solve separable ODE:

x = e^{\frac{t ^{2}}{2} + c_{1}}

x = e^{\frac{t ^{2}}{2} + c_{1}}

Popular Examples

y^'=(t^3)/y ,y(0)=4

y^{^{'}} = \frac{t ^{3}}{y}, y (0) = 4

\frac{d x}{d t} = r x

(dy)/(dx)=x^2+x^2y

\frac{d y}{d x} = x^{2} + x^{2} y

(dv)/(dt)=sqrt(9.8v),v(0)=5.3

\frac{d v}{d t} = 9.8 v, v (0) = 5.3

(dx)/(dt)=100-x/(100),x=4000,t=0

\frac{d x}{d t} = 100 - \frac{x}{100}, x = 4000, t = 0

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=tx ?
The solution for (dx)/(dt)=tx is x=e^{(t^2)/2+c_{1}}